The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year,

55

new hires took the test and scored a mean of

112.6

points with a standard deviation of

14.3

. Last year,

60

new hires took the test and scored a mean of

117.4

points with a standard deviation of

16.5

. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a

95%

confidence interval for

12

, the difference between the mean test score

1

of new hires from the current year and the mean test score

2

of new hires from last year. Then complete the table below.